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Finding the Third Proportional to 339,900 and 746,706

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Solution

The third proportional to 339,900 and 746,706 is: 1,640,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,900 : 746,706 = 746,706 : x
  2. Step 2: Convert to fraction form
    339,900/746,706 = 746,706/x
  3. Step 3: Cross multiply
    339,900x = 746,706 × 746,706
  4. Step 4: Simplify right side
    339,900x = 557,569,850,436
  5. Step 5: Solve for x
    x = 557,569,850,436/339,900
  6. Step 6: Final answer
    x = 1,640,393.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.